Real Analysis 40 | Local Extreme and Rolle's Theorem [dark version]

[@Independent_Man3]

5:35 When you say that the slope function is continuous, are you assuming that f is continuously differentiable at x0? Or is the slope function always continuous at every point where f is differentiable?

[@brightsideofmaths]

The slope function Delta is continuous at x_0 if and only if f is differentiable x_0. This is the definition :)